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Finding the Fourth Proportional to 22,759.47, 34,139.21 and 7,178.31

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Solution

The fourth proportional to 22,759.47, 34,139.21 and 7,178.31 is: 10,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.47 : 34,139.21 = 7,178.31 : x
  2. Step 2: Convert to fraction form
    22,759.47/34,139.21 = 7,178.31/x
  3. Step 3: Cross multiply
    22,759.47x = 34,139.21 × 7,178.31
  4. Step 4: Simplify right side
    22,759.47x = 245,061,796.64
  5. Step 5: Solve for x
    x = 245,061,796.64/22,759.47
  6. Step 6: Final answer
    x = 10,767.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.